2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63550Given smooth manifolds $V^n$ and $M^m$, an integer $k$, and an immersion $f:V\looparrowright M$, we have constructed an obstruction for existence of regular homotopy of $f$ to an immersion $f':V\looparrowright M$ without $k$-fold points. This obstruction takes values in certain framed bordism group, and for $(k+1)(n+1)\leq km$ turns out to be complete.Minor correctionsGeometric TopologyAlgebraic Topologytext